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Numerical Methods for Initial Value Problems in Physics

This textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involving Ordinary Differential Equations (ODEs) and progressing to problems with Partial Differential...

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Hlavní autor: Guzmán, Francisco S. (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Vydání:1st ed. 2023.
Témata:
Mathematical physics.
Mathematics > Data processing.
Differential equations.
System theory.
Mathematical Methods in Physics.
Computational Mathematics and Numerical Analysis.
Mathematical Physics.
Differential Equations.
Complex Systems.
On-line přístup:https://doi.org/10.1007/978-3-031-33556-3
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Obsah:
  • Chapter1. Introduction
  • Chapter2. Ordinary Differential Equations
  • Chapter3. Simple Methods for Initial Value Problems Involving PDEs
  • Chapter4. Method of Lines for Initial Value Problems Involving PDEs
  • Chapter5. Finite Volume Methods
  • Chapter6. Initial Value Problems in 3+1 and 2+1 dimensions
  • Chapter7. Appendix A: Stability of Evolution Schemes
  • Chapter8. Appendix B: Codes.

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